A NOTE ON CONTROLLABILITY OF NONINSTANTANEOUS IMPULSIVE ATANGANA–BALEANU–CAPUTO NEUTRAL FRACTIONAL INTEGRODIFFERENTIAL SYSTEMS-Reference-Cited by-同舟云学术

A NOTE ON CONTROLLABILITY OF NONINSTANTANEOUS IMPULSIVE ATANGANA–BALEANU–CAPUTO NEUTRAL FRACTIONAL INTEGRODIFFERENTIAL SYSTEMS

Published:2022-09-20 Issue:08 Volume:30 Page:
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

NISAR KOTTAKKARAN SOOPPY¹,VIJAYARAJ V.²,VALLIAMMAL N.³,LOGESWARI K.²,RAVICHANDRAN C.²,ABDEL-ATY ABDEL-HALEEM⁴,YAHIA IBRAHIM S.⁵⁶⁷

Affiliation:

1. Department of Mathematics, College of Arts and Sciences, Prince Sattam Bin Abdulaziz University, Wadi Aldawasir 11991, Saudi Arabia

2. Department of Mathematics, Kongunadu Arts and Science College, Coimbatore 641 029, Tamil Nadu, India

3. Department of Mathematics, Sri Eshwar College of Engineering, Coimbatore 641 202, Tamil Nadu, India

4. Department of Physics, College of Sciences, University of Bisha, P. O. Box 344, Bisha 61922, Saudi Arabia

5. Department of Physics, College of Science, King Khalid University, P. O. Box 9004, Abha 61413, Saudi Arabia

6. Research Center for Advanced Materials Science (RCAMS), King Khalid University, P. O. Box 9004, Abha 61413, Saudi Arabia

7. Nanoscience Laboratory for Environmental and Biomedical Applications (NLEBA), Metallurgical Laboratory 1, Department of Physics, Faculty of Education, Ain Shams University, Roxy, Cairo 11757, Egypt

Abstract

This paper describes the required and adequate conditions for controllability and optimal controls of Atangana–Baleanu–Caputo (ABC) neutral fractional integrodifferential equations (NFIE) with noninstantaneous impulses. Measure of noncompactness, semigroup theory, fractional calculus and fixed point techniques act as the main tools in deriving the results. An illustration is offered to enhance our theoretical outcomes.

Funder

Deanship of Scientific Research at the King Khalid University

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X22402034

Reference45 articles.

1. Applications of Fractional Calculus in Physics

2. A. A. Kilbas, H. M. Srivastava and J. J. Trujillo, Theory and Applications of Fractional Differential Equations (Elsevier Science, New York, 2006), pp. 1–540.

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